learnmath.bernatchez.net - calculushttps://learnmath.bernatchez.net/lang-version.fr/2026-05-20T23:35:34+00:00Sampl Calculus Problem 0012026-05-20T23:35:34+00:002026-05-20T23:35:34+00:00Jane Doetag:learnmath.bernatchez.net,2026-05-20:/lang-version.fr/sampl-calp001-en.html<p class="first last">Sampl Calculus Problem 001</p>
<img alt="image essential to understanding the question" src="../images/samfigure_x1.png" />
<p>Let the function <span class="math">\(f(x) = 6x^2-3x\)</span> be as represented above.</p>
<p>The figure is not to scale.</p>
<ol class="arabic">
<li><p class="first">Find <span class="math">\(\int \! (6x^2-3x) \, \mathrm{d}x\)</span>.</p>
</li>
<li><p class="first">Find the area of the region bounded by the graph of <span class="math">\(f(x)\)</span>,</p>
<p>the x-axis, and the lines <span class="math">\(x = 1\)</span> and <span class="math">\(x = 2\)</span>.</p>
<p>That is, <span class="math">\(\int_1^2 \! (6x^2-3x) \, \mathrm{d}x\)</span>.</p>
</li>
</ol>
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